Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 193 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ | 0.57 | 0.6943 | 0.8211 | [X:[1.4099], M:[1.0, 0.5901, 1.0], q:[0.6988, 0.9037], qb:[0.3012, 0.5062], phi:[0.3975]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_1^2$, $ M_3^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.39 + t^2.42 + 2*t^3. + 3*t^3.61 + 2*t^4.23 + t^4.77 + 2*t^4.81 + t^4.84 + 2*t^5.42 + t^6. + 3*t^6.04 - 2*t^6.58 + 4*t^6.61 + 2*t^6.65 + t^7.16 - 2*t^7.19 + 7*t^7.23 + t^7.27 - 2*t^7.81 + 6*t^7.84 - 2*t^8.39 + 6*t^8.46 - t^4.19/y - t^6.58/y + (2*t^7.81)/y + (2*t^8.39)/y + (2*t^8.42)/y - t^8.96/y - t^4.19*y - t^6.58*y + 2*t^7.81*y + 2*t^8.39*y + 2*t^8.42*y - t^8.96*y | (g2^2*t^2.39)/g1^4 + (g1^6*t^2.42)/g2^3 + (g1^8*t^3.)/g2^5 + (g2^5*t^3.)/g1^8 + (g1^20*t^3.61)/g2^12 + (g1^4*t^3.61)/g2^2 + (g2^8*t^3.61)/g1^12 + (g1^16*t^4.23)/g2^9 + g2*t^4.23 + (g2^4*t^4.77)/g1^8 + (2*g1^2*t^4.81)/g2 + (g1^12*t^4.84)/g2^6 + (g1^14*t^5.42)/g2^8 + (g2^2*t^5.42)/g1^2 - t^6. + (g1^16*t^6.)/g2^10 + (g2^10*t^6.)/g1^16 + (g1^26*t^6.04)/g2^15 + (g1^10*t^6.04)/g2^5 + (g2^5*t^6.04)/g1^6 - (g1^2*t^6.58)/g2^2 - (g2^8*t^6.58)/g1^14 + (g1^28*t^6.61)/g2^17 + (g1^12*t^6.61)/g2^7 + (g2^3*t^6.61)/g1^4 + (g2^13*t^6.61)/g1^20 + (g1^22*t^6.65)/g2^12 + (g1^6*t^6.65)/g2^2 + (g2^6*t^7.16)/g1^12 - (g1^14*t^7.19)/g2^9 - (g2^11*t^7.19)/g1^18 + (g1^40*t^7.23)/g2^24 + (g1^24*t^7.23)/g2^14 + (3*g1^8*t^7.23)/g2^4 + (g2^6*t^7.23)/g1^8 + (g2^16*t^7.23)/g1^24 + (g1^18*t^7.27)/g2^9 - (g1^10*t^7.81)/g2^6 - (g2^4*t^7.81)/g1^6 + (g1^36*t^7.84)/g2^21 + (2*g1^20*t^7.84)/g2^11 + (2*g1^4*t^7.84)/g2 + (g2^9*t^7.84)/g1^12 - (2*g2^2*t^8.39)/g1^4 + (g1^22*t^8.42)/g2^13 - (2*g1^6*t^8.42)/g2^3 + (g2^7*t^8.42)/g1^10 + (2*g1^32*t^8.46)/g2^18 + (2*g1^16*t^8.46)/g2^8 + 2*g2^2*t^8.46 - (g2*t^4.19)/(g1^2*y) - (g2^3*t^6.58)/(g1^6*y) + (2*g1^2*t^7.81)/(g2*y) + (g1^4*t^8.39)/(g2^3*y) + (g2^7*t^8.39)/(g1^12*y) + (g1^14*t^8.42)/(g2^8*y) + (g2^2*t^8.42)/(g1^2*y) - (g2^5*t^8.96)/(g1^10*y) - (g2*t^4.19*y)/g1^2 - (g2^3*t^6.58*y)/g1^6 + (2*g1^2*t^7.81*y)/g2 + (g1^4*t^8.39*y)/g2^3 + (g2^7*t^8.39*y)/g1^12 + (g1^14*t^8.42*y)/g2^8 + (g2^2*t^8.42*y)/g1^2 - (g2^5*t^8.96*y)/g1^10 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 306 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.5498 | 0.6599 | 0.8332 | [X:[1.5347], M:[1.0566, 0.4653, 0.9434], q:[0.5913, 1.0566], qb:[0.3522, 0.5913], phi:[0.3522]] | t^2.11 + 2*t^2.83 + t^3.17 + t^3.55 + t^3.89 + 2*t^4.23 + t^4.6 + 3*t^4.94 + 3*t^5.66 - t^6. - t^4.06/y - t^4.06*y | detail | |
| 307 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5873 | 0.7229 | 0.8123 | [X:[1.4386], M:[1.0, 0.5614, 1.0, 0.7807], q:[0.6952, 0.9145], qb:[0.3048, 0.5241], phi:[0.3903]] | 2*t^2.34 + t^2.49 + 2*t^3. + 2*t^3.66 + 2*t^4.32 + 3*t^4.68 + 3*t^4.83 + t^4.97 + 2*t^5.34 + 2*t^5.49 + 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 305 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |
| 304 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.6667, 1.3333], M:[1.0, 0.3333, 1.0], q:[0.6667, 1.0], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 5/3, X2: 4/3, M1: 1, M2: 1/3, M3: 1, q1: 2/3, q2: 1, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 120 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |